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Semilinear hypoelliptic differential operators with multiple characteristics |
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| Authors: | Nguyen Minh Tri |
| Institution: | Institute of Mathematics, 18 Hoang Quoc Viet Road, Cau Giay District, 10307 Hanoi, Vietnam |
| Abstract: | In this paper we consider the regularity of solutions of semilinear differential equations principal parts of which consist of linear polynomial operators constructed from real vector fields. Based on the study of fine properties of the principal linear parts we then obtain the regularity of solutions of the nonlinear equations. Some results obtained in this article are also new in the frame of linear theory. |
| Keywords: | Semilinear differential equations a priori estimates maximal hypoellipticity polynomial operators constructed from real vector fields |
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